What would happen to a satellite if its orbit speed doubled?

The radius of orbit will decrease by 1/4, the satellite will come closer to Earth

Explanation:

The orbital speed of any body revolving in an orbit around another boyd is given by:

v (orbital) = √(G · M(central body)/R)

Where G is the gravitation constant.

If the body, e.g satellite is moving around the Earth, then the mass of central body M will also be a constant. Therefore, the only thing on which the orbital velocity will depend on will be Radius of the orbit R.

v ∝ 1/√R

√R ∝ 1/v

Take square:

R ∝ 1/v²

If the velocity of satellite will doubles, then:

R' ∝ 1/ (2v)²

R' ∝ 1/4v²

R' ∝ (1/4)(1/v²)

R' ∝ (1/4)(R)

The radius of orbit will decrease by 1/4, the satellite will come closer to Earth

newton's first law of motion

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles